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Hookes law analysis and evaluation

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Introduction

Analysis

The results that I have collected have proved very conclusive. From the graphs that have been plotted I have been able to deduce that when a spring is added to the spring in series then the extension

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Middle

When the load 1N is added to the springs in series the extension is 0.086 m, however when the load is added to the spring on it’s own the extension is only 0.044 m.

This proves that the equation k = f / x is true. This is because when the load is kept the same but the spring stiffness is doubled then the extension is also doubled.

To work out the spring constant I will need to use the equation:

K = Force or Load / gradient

The spring stiffness is a measure as to how much the string is extended when a load is placed on it. This can be worked out using the equation:

K = F / X

Graph of my results:

image00.png

image01.png

The graph that has been plotted (spring stiffness against load) shows that the stiffness of the spring halves when there is single spring but when two are put in series then the stiffness is doubled. It can be seen clearly that the gradient of single spring is almost half of spring in series.

Gradient for single spring

Gradient for spring in series

y = 0.0453x – 0.0068

y = 0.0811x – 0.0059

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Conclusion

 Apparently, to drawing the graphs I found that out of eight points on the graph almost all of them fitted into the line of best for the graph of springs in series but the last point is looked closely on my graph appears to be slightly away from the line of best fit. The single spring graph had two points that did not fit on the line of best fit. This means that I had a few anomalous results and that the experiment may not have been carried out fairly.

The anomalous results may have occurred due to the lack of accuracy. I may not have measured the extension of the springs with precision and may have also calculated the extension as well as the average extension of the spring incorrectly. Therefore, if I do such an experiment again I will have to make sure that all my concentration is on precise measurements in order to get fair results.However, to extend the experiment further I could look at how changing the force effects springs that are placed in parallel and find out how the springs constant of these springs changes.

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